668917000 has 64 divisors (see below), whose sum is σ = 1569484800. Its totient is φ = 266846400.

The previous prime is 668916991. The next prime is 668917013. The reversal of 668917000 is 719866.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522361 + ... + 523639.

It is an arithmetic number, because the mean of its divisors is an integer number (24523200).

Almost surely, 2^668917000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784742400).

668917000 is an abundant number, since it is smaller than the sum of its proper divisors (900567800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668917000 is a wasteful number, since it uses less digits than its factorization.

668917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 668917000 is about 25863.4297802902. The cubic root of 668917000 is about 874.5622844723.

The spelling of 668917000 in words is "six hundred sixty-eight million, nine hundred seventeen thousand".